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Finding the Third Proportional to 435,914 and 919,156

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Solution

The third proportional to 435,914 and 919,156 is: 1,938,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,914 : 919,156 = 919,156 : x
  2. Step 2: Convert to fraction form
    435,914/919,156 = 919,156/x
  3. Step 3: Cross multiply
    435,914x = 919,156 × 919,156
  4. Step 4: Simplify right side
    435,914x = 844,847,752,336
  5. Step 5: Solve for x
    x = 844,847,752,336/435,914
  6. Step 6: Final answer
    x = 1,938,106.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.